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JAMB Mathematics 2014 Question 34

Question 34

Coordinate Geometry

In the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?

Diagram for this question
  1. A.y = −x − 5
  2. B.y = x + 5
  3. C.y = −x + 5
  4. D.y = x − 5
Show the answer and explanation

Answer: C (y = −x + 5)

Explanation

Gradient = (0 − 5)/(5 − 0) = −1 and the line cuts the y-axis at 5. So y = −x + 5.